This paper begins with a basic overview of the key concepts of classical and virtual knot theory. After introductions to concepts such as knot diagrams, Reidemeister moves, and virtual links, the paper discusses the bikei algebraic structure and the fundamental bikei. The paper describes an algorithm that converts fundamental bikei presentations to matrix representations, and then completes the resulting matrices. These completed matrices can return the value of two link invariants.
| Identifer | oai:union.ndltd.org:CLAREMONT/oai:scholarship.claremont.edu:cmc_theses-2749 |
| Date | 01 January 2017 |
| Creators | Chien, Julien |
| Publisher | Scholarship @ Claremont |
| Source Sets | Claremont Colleges |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | CMC Senior Theses |
| Rights | © 2017 Julien E Chien, default |
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